Question

Each of the three committees has $1$ vacancy which is to be filled from a group of $6$ people. Find the number of ways the $3$ vacancies can be filled. If each person can serve on at most $1$ committee.

Answer 1

$3$ Committees

$1$ Vacancy each $6$ People

Each person can work for $1$ committee only

Number of Vacancies $=3$

Total nuumber of ways of filling vacancies

$=6\times 5\times$ $=120$ Ways

Answer : 120